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Finding the Fourth Proportional to 151,692.75, 209,336.09 and 84,624.75

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Solution

The fourth proportional to 151,692.75, 209,336.09 and 84,624.75 is: 116,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,692.75 : 209,336.09 = 84,624.75 : x
  2. Step 2: Convert to fraction form
    151,692.75/209,336.09 = 84,624.75/x
  3. Step 3: Cross multiply
    151,692.75x = 209,336.09 × 84,624.75
  4. Step 4: Simplify right side
    151,692.75x = 17,715,013,859.10
  5. Step 5: Solve for x
    x = 17,715,013,859.10/151,692.75
  6. Step 6: Final answer
    x = 116,782.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.